What is the Greatest Common Factor of 79200 and 79212?

Greatest common factor (GCF) of 79200 and 79212 is 12.

GCF(79200,79212) = 12

We will now calculate the prime factors of 79200 and 79212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79200 and 79212.

How to find the GCF of 79200 and 79212?

We will first find the prime factorization of 79200 and 79212. After we will calculate the factors of 79200 and 79212 and find the biggest common factor number .

Step-1: Prime Factorization of 79200

Prime factors of 79200 are 2, 3, 5, 11. Prime factorization of 79200 in exponential form is:

79200 = 2⁵ × 3² × 5² × 11¹

Step-2: Prime Factorization of 79212

Prime factors of 79212 are 2, 3, 7, 23, 41. Prime factorization of 79212 in exponential form is:

79212 = 2² × 3¹ × 7¹ × 23¹ × 41¹

Step-3: Factors of 79200

List of positive integer factors of 79200 that divides 79200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 30, 32, 33, 36, 40, 44, 45, 48, 50, 55, 60, 66, 72, 75, 80, 88, 90, 96, 99, 100, 110, 120, 132, 144, 150, 160, 165, 176, 180, 198, 200, 220, 225, 240, 264, 275, 288, 300, 330, 352, 360, 396, 400, 440, 450, 480, 495, 528, 550, 600, 660, 720, 792, 800, 825, 880, 900, 990, 1056, 1100, 1200, 1320, 1440, 1584, 1650, 1760, 1800, 1980, 2200, 2400, 2475, 2640, 3168, 3300, 3600, 3960, 4400, 4950, 5280, 6600, 7200, 7920, 8800, 9900, 13200, 15840, 19800, 26400, 39600

Step-4: Factors of 79212

List of positive integer factors of 79212 that divides 79200 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 41, 42, 46, 69, 82, 84, 92, 123, 138, 161, 164, 246, 276, 287, 322, 483, 492, 574, 644, 861, 943, 966, 1148, 1722, 1886, 1932, 2829, 3444, 3772, 5658, 6601, 11316, 13202, 19803, 26404, 39606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79200 and 79212. The biggest common factor number is the GCF number.
So the greatest common factor 79200 and 79212 is 12.

Also check out the Least Common Multiple of 79200 and 79212